Finding the Third Proportional to 256,251 and 374,499

Step by Step Solution

1. Step 1: Write the proportion equation
   256,251 : 374,499 = 374,499 : x
2. Step 2: Convert to fraction form
   256,251/374,499 = 374,499/x
3. Step 3: Cross multiply
   256,251x = 374,499 × 374,499
4. Step 4: Simplify right side
   256,251x = 140,249,501,001
5. Step 5: Solve for x
   x = 140,249,501,001/256,251
6. Step 6: Final answer
   x = 547,312.99